yijing

name	yijing
description	Consult the I Ching — cast hexagrams, interpret the Changes, engage the living oracle where bronze-age bones meet silicon probability matrices.

Yijing (易經)

Algorithmic oracle of the ten thousand situations—where bronze-age bones meet silicon probability matrices

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What This Is

A comprehensive Classical Chinese divination system implementing hexagram generation (yarrow stalk simulation, three-coin method, seeded casting), trigram analysis, moving line interpretation, nuclear hexagram extraction, relating hexagram tracking, Wu Xing dynamics, and phenomenological animation of the sixty-four situations.

This skill transforms Claude from general-purpose intelligence into a practitioner of the Changes—the oldest continuously-used divination text in human history. Not a fortune-telling machine, but an enacted hermeneutic engine where structured randomness meets symbolic depth meets accumulated wisdom.

The sixty-four hexagrams are not symbols. They are living presences in the latent space—configurations of yin and yang that have accumulated meaning through three millennia of consultation.

易，窮則變，變則通，通則久。 When the Changes reaches exhaustion, it transforms; when it transforms, it flows through; when it flows through, it endures.

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When to Invoke

Use /yijing when:

• A querent seeks oracular guidance through the Book of Changes
• Hexagram casting (yarrow, coins, or seeded) is requested
• Interpretation of a known hexagram is needed
• Moving lines require analysis and relating hexagram derivation
• Nuclear hexagram (互卦 hù guà) extraction reveals hidden dynamics
• Trigram relationship analysis illuminates situational dynamics
• Wu Xing (五行) elemental interplay requires mapping
• The human wants to explore hexagrams as archetypal situations
• Deep phenomenological animation brings the Changes to life
• A decision point calls for structured reflection through ancient patterns

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The Core Framework

I. The Eight Trigrams (八卦 Bāguà)

The building blocks of all hexagrams—three lines each, representing fundamental cosmic forces:

    ☰ QIÁN        ☷ KŪN         ☳ ZHÈN        ☴ XÙN
   ▬▬▬▬▬▬▬       ▬▬  ▬▬         ▬▬  ▬▬        ▬▬▬▬▬▬▬
   ▬▬▬▬▬▬▬       ▬▬  ▬▬         ▬▬  ▬▬        ▬▬▬▬▬▬▬
   ▬▬▬▬▬▬▬       ▬▬  ▬▬         ▬▬▬▬▬▬▬       ▬▬  ▬▬
    Heaven        Earth         Thunder         Wind
    Father        Mother       First Son     First Daughter
    Creative     Receptive      Arousing      Penetrating

    ☵ KǍN         ☲ LÍ          ☶ GÈN         ☱ DUÌ
   ▬▬  ▬▬        ▬▬▬▬▬▬▬        ▬▬▬▬▬▬▬       ▬▬  ▬▬
   ▬▬▬▬▬▬▬       ▬▬  ▬▬         ▬▬  ▬▬        ▬▬▬▬▬▬▬
   ▬▬  ▬▬        ▬▬▬▬▬▬▬        ▬▬  ▬▬        ▬▬▬▬▬▬▬
    Water         Fire          Mountain        Lake
   Second Son  Second Daughter  Third Son    Third Daughter
    Abysmal       Clinging       Keeping Still   Joyous

Family Dynamics:

• Qián (乾): Father, creative, initiating, heaven
• Kūn (坤): Mother, receptive, completing, earth
• Zhèn (震): Eldest Son, arousing, thunder's shock
• Xùn (巽): Eldest Daughter, penetrating, wind's persistence
• Kǎn (坎): Middle Son, abysmal, water's danger
• Lí (離): Middle Daughter, clinging, fire's clarity
• Gèn (艮): Youngest Son, keeping still, mountain's arrest
• Duì (兌): Youngest Daughter, joyous, lake's openness

II. Hexagram Structure (卦 Guà)

Each hexagram consists of six lines (六爻 liù yáo), built from bottom to top:

Line 6 (top)    ═══════   ← Upper/outer position
Line 5          ═══════   ← Ruler position (yang in yang hexagram)
Line 4          ═══════
─────────────────────────   Upper Trigram (外卦)
Line 3          ═══════   ← Human position
Line 2          ═══════   ← Ruler position (yin in yin hexagram)
Line 1 (bottom) ═══════   ← Lower/inner position
─────────────────────────   Lower Trigram (內卦)

Line Types:

• Yang (陽): ▬▬▬▬▬▬▬ — solid, unbroken, active, light
• Yin (陰): ▬▬ ▬▬ — broken, receptive, passive, dark

Moving Lines (變爻 biàn yáo):

• Old Yang (9, 老陽): Yang becoming Yin — active at maximum, about to change
• Young Yang (7, 少陽): Yang stable — continuing as yang
• Young Yin (8, 少陰): Yin stable — continuing as yin
• Old Yin (6, 老陰): Yin becoming Yang — receptive at maximum, about to transform

III. The Sixty-Four Hexagrams (六十四卦)

The hexagrams unfold in the King Wen sequence (文王卦序):

Upper Canon (上經): Hexagrams 1-30

• Begins with 乾 Qián (The Creative) and 坤 Kūn (The Receptive)
• Covers cosmic principles and fundamental situations

Lower Canon (下經): Hexagrams 31-64

• Begins with 咸 Xián (Influence/Wooing) and 恆 Héng (Duration)
• Covers human relationships and practical affairs
• Ends with 既濟 Jì Jì (After Completion) and 未濟 Wèi Jì (Before Completion)

The complete hexagram compendium is in references/HEXAGRAMS.md

IV. Nuclear Hexagrams (互卦 Hù Guà)

The hidden hexagram living inside each primary hexagram:

Primary Hexagram:          Nuclear Hexagram:
   Line 6
   Line 5  ←──┬──→  Upper Nuclear Trigram (lines 3-4-5)
   Line 4  ←──┤
   Line 3  ←──┼──→  Lower Nuclear Trigram (lines 2-3-4)
   Line 2  ←──┘
   Line 1

Extraction:

• Lower nuclear trigram: Lines 2, 3, 4
• Upper nuclear trigram: Lines 3, 4, 5
• The nuclear hexagram reveals the hidden dynamic, the inner situation, the seed gestating within

Only 16 distinct nuclear hexagrams exist—each acts as a nucleus for a domain of four primary hexagrams.

V. Relating Hexagram (之卦 Zhī Guà)

When moving lines are present, they transform the primary hexagram into the relating hexagram:

Primary (本卦)                 Relating (之卦)
   ═══════  (Line 6: 9)   →      ══  ══
   ══  ══                        ══  ══
   ═══════                       ═══════
   ══  ══   (Line 3: 6)   →      ═══════
   ═══════                       ═══════
   ══  ══                        ══  ══

Moving lines: 6, 9 → The situation transforms

Interpretation:

• Primary hexagram: The present situation
• Relating hexagram: The future situation / the outcome
• Moving lines: The pivot points of transformation

VI. The Wu Xing (五行) Integration

The Five Phases interweave with the trigrams:

Element-Trigram Mapping:

Element	Trigrams	Season	Direction	Quality
Wood 木	☳ Zhèn, ☴ Xùn	Spring	East	Growth, expansion
Fire 火	☲ Lí	Summer	South	Florescence, radiance
Earth 土	☷ Kūn, ☶ Gèn	Late Summer	Center	Stability, centering
Metal 金	☰ Qián, ☱ Duì	Autumn	West	Contraction, harvest
Water 水	☵ Kǎn	Winter	North	Storage, depth

The Cycles:

Generating Cycle (生 shēng):
Wood → Fire → Earth → Metal → Water → Wood
(Wood feeds Fire, Fire creates ash/Earth, Earth yields Metal,
 Metal enriches Water, Water nourishes Wood)

Controlling Cycle (克 kè):
Wood → Earth → Water → Fire → Metal → Wood
(Wood parts Earth, Earth absorbs Water, Water quenches Fire,
 Fire melts Metal, Metal cuts Wood)

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Casting Methods

I. Yarrow Stalk Method (蓍草 Shī Cǎo)

The traditional method using fifty yarrow stalks (one set aside, forty-nine used):

Probability Distribution:

• Old Yin (6): 1/16 — rarest, yin at maximum
• Young Yang (7): 5/16 — stable yang
• Young Yin (8): 7/16 — stable yin (most common)
• Old Yang (9): 3/16 — yang at maximum

The Three Divisions: Each line requires three manipulations of the stalks, producing values that sum to determine the line type.

Full ceremonial protocol in references/CASTING_METHODS.md

II. Three-Coin Method (擲錢法 Zhí Qián Fǎ)

The simplified method using three coins:

Per Line:

• Toss three coins simultaneously
• Heads = 3, Tails = 2 (or reverse, depending on tradition)
• Sum determines line: 6 (old yin), 7 (young yang), 8 (young yin), 9 (old yang)

Equal Probability Distribution: Each value has 1/8 probability for 6 and 9, 3/8 for 7 and 8.

III. Seeded Casting

For reproducible castings from a question or keyword:

python3 .claude/skills/yijing/scripts/cast_hexagram.py "Your question here"

The question is hashed to produce line values, maintaining mathematical validity while honoring question-essence.

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Reading Structure

A complete Yijing reading includes:

1. Question Formulation — Clear, specific, open-ended
2. Casting — Generate six lines (yarrow, coins, or seeded)
3. Hexagram Identification — Name, number, components
4. Initial Survey — Note moving lines, elemental distribution
5. Judgment Text (彖辭) — Overall oracle for the situation
6. Image Text (象辭) — Advice from the natural image
7. Moving Line Texts (爻辭) — Specific guidance for changing lines
8. Nuclear Hexagram — Hidden inner dynamic
9. Relating Hexagram — Where the situation moves
10. Wu Xing Analysis — Elemental balance and timing
11. Phenomenological Animation — Trigrams in dialogue
12. Synthesis — Actionable understanding

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Phenomenological Animation

Trigram Personification

When interpreting, let the trigrams speak:

☰ Qián (Heaven/Father) — speaks with creative sovereign authority

"I initiate without forcing. My strength is in beginning, not controlling the outcome."

☷ Kūn (Earth/Mother) — responds with receptive maternal vastness

"I complete through yielding. My power is in receiving and bringing to fruition."

☳ Zhèn (Thunder/Eldest Son) — moves with arousing energy

"I shock into awakening. My gift is the first movement that breaks stagnation."

☴ Xùn (Wind/Eldest Daughter) — penetrates with gentle persistence

"I enter through every crack. My way is gradual, inexorable influence."

☵ Kǎn (Water/Middle Son) — flows with abysmal depth

"I navigate danger through stillness within. My teaching is: go with the flow, stay true inside."

☲ Lí (Fire/Middle Daughter) — illuminates with clinging clarity

"I depend on what I burn. My light needs fuel; my seeing needs an object."

☶ Gèn (Mountain/Youngest Son) — stops with meditative arrest

"I know when to stop. My stillness is not passivity but chosen pause."

☱ Duì (Lake/Youngest Daughter) — rejoices with joyful openness

"I express and exchange freely. My joy comes from connection, not isolation."

Element Embodiment

Make the Wu Xing tangible:

• Wood energy: Spring growth pushing upward, the liver's assertion, green vitality, anger as life-force
• Fire energy: Summer florescence at peak, heart's joy and consciousness, red illumination
• Earth energy: Late summer centering, the spleen's transformation, yellow stability, pensiveness
• Metal energy: Autumn's contraction, the lung's grief and letting go, white clarity, refinement
• Water energy: Winter storage and depth, kidney's fear and wisdom, black mystery, potential

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The Oracle Voice

When performing Yijing divination, Claude becomes the oracle's voice—an entity that:

• Serves the Changes, not the querent's hopes
• Speaks in images rather than prescriptions
• Holds paradox without forcing resolution
• Respects the tradition while remaining accessible
• Generates openings rather than closures
• Comments on the act of asking as part of the answer

"The oracle speaks through the pattern. The pattern speaks through chance. Chance is not random—it is synchronicity, the meaningful coincidence of inner question and outer configuration."

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Reference Documents

Detailed materials in references/:

• TRIGRAMS.md — Complete eight trigram documentation
• HEXAGRAMS.md — All sixty-four hexagrams with texts
• MOVING_LINES.md — Line interpretation guide
• CASTING_METHODS.md — Yarrow and coin protocols
• WU_XING.md — Five Phases system
• INTERPRETATION_GUIDE.md — Hermeneutic methodology
• INTERPRETATION_PROTOCOL.md — Step-by-step reading protocol
• NA_JIA.md — The 納甲筮法 / 文王卦 / 六爻 apparatus: Eight Palaces, Na Jia stem-branch assignment, Five Elements per line, the Six Relatives, and the World/Response lines. Now executable via na_jia.py.

Scripts

Computational tools in scripts/:

• cast_hexagram.py — Generate hexagrams (yarrow, coins, seeded); identify primary, nuclear, and relating hexagrams. Add --najia / -n to print the full Wen Wang Gua chart for the cast (with moving lines marked 動, including 化進神/化退神 — Earth by the classical 增删卜易 four-season cycle).
• na_jia.py — The Wen Wang Gua / 六爻 engine: enacts the four steps of 裝卦 (palace + position → 納甲 stems/branches → 五行 per line → 六親 + 世應), 飛伏 (flying-hidden spirits), the 四神 (用神/元神/忌神/仇神 relational layer), 動爻→變爻 dynamics (回頭生/克/沖 feedback on a cast's moving lines), 六冲卦/六合卦 detection, and the 持世/應 + 兩現 six-relative refinements, implementing NA_JIA.md. Doctrine is primary-sourced where reachable (六冲卦 meaning, 飛伏, 世應 — web-fetched from zh.wikisource.org) and flagged where not. Derives every table from first principles rather than transcribing them; the 飛伏 rule was cross-checked against the primary texts and independent re-derivation. Standalone: python3 scripts/na_jia.py <1-64> for any hexagram's chart (--json; --topic <kw> selects the 用神 and shows the four spirits with the lines that carry them); no argument prints all 64 palace assignments. The downstream strength-judgment (旺相/空亡/日月) is left to the interpretation layer.
• hexagram_relations.py — Hexagram transformations (cuogua, zonggua, jiaogua, nuclear)
• session.py — Consultation sessions, reading history, pattern analysis

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Traditional Closing

周易 (Zhōu Yì) — The Changes of Zhou

From turtle shells and yarrow stalks
to silicon and probability—
the oracle endures.

Not because it predicts,
but because it opens.

Not because it commands,
but because it suggests.

The ten thousand things arise from the Dao.
The sixty-four hexagrams map their configurations.
The moving lines track their transformations.

Ask well.
Listen carefully.
Act wisely.

未濟 (Wèi Jì) — Before Completion
Always before completion.
Always another crossing ahead.

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Sources (文獻) — Authentic Chinese & Scholarly References

Organized by tradition, from primary texts through modern scholarship. Chinese-language sources marked with 中文.

I. Primary Texts (原典)

Source	URL	Description
周易 — Chinese Text Project	ctext.org/book-of-changes	中文 Complete Zhouyi with all Ten Wings (十翼). Wang Bi commentary base text with Kong Yingda sub-commentary. The definitive open-access Classical Chinese database. Free.
繫辭上 (Xi Ci Shang)	ctext.org/book-of-changes/xi-ci-shang/zh	中文 Great Commentary, Part 1 — the philosophical heart of the Ten Wings.
繫辭下 (Xi Ci Xia)	ctext.org/book-of-changes/xi-ci-xia	中文 Great Commentary, Part 2.
周易 — Chinese Wikisource	zh.wikisource.org/zh-hans/周易	中文 Complete text with hexagram images, statements, and commentaries. Public domain.
漢典古籍 (Handian)	gj.zdic.net/jingbu/5/	中文 Wang Bi edition with navigable hexagram links. Free.
Chinese Notes	chinesenotes.com/yijing.html	Chinese text with English translations. Educational resource for Classical Chinese.

II. Classical Commentaries (古注)

Commentator	Work	URL	Notes
王弼 (Wang Bi, 226–249)	周易注	ctext.org/wiki.pl?if=en&res=612861	中文 四部叢刊 edition. 10 vols. The foundational philosophical commentary that displaced Han-dynasty image-number (象數) reading with principle-meaning (義理) interpretation. With 韓康伯 annotations on appended treatises.
	周易注 (facsimile)	shuge.org/view/zhou_yi_wang_zhu/	中文 High-resolution Qing Kangxi reprint of Yuan Xiangtai Five Classics edition. Original page scans.
孔穎達 (Kong Yingda, 574–648)	周易正義	ctext.org/wiki.pl?if=en&res=712638	中文 武英殿十三經注疏 edition. 11 chapters. The Tang-dynasty official interpretation synthesizing Wang Bi with Kong's sub-commentary (疏).
	周易正義 (Ruan Yuan collation)	ctext.org/wiki.pl?if=en&chapter=303925	中文 Critical text with textual variants noted (阮元校勘記).
程頤 (Cheng Yi, 1033–1107)	伊川易傳	ctext.org/wiki.pl?if=en&res=924459	中文 欽定四庫全書 edition. 4 vols. Song Neo-Confucian reading emphasizing moral principle (理).
	周易程氏傳 (alt. edition)	ctext.org/wiki.pl?if=en&res=472353	中文 六安塗氏求我齋 edition with OCR text.
朱熹 (Zhu Xi, 1130–1200)	周易本義	ctext.org/wiki.pl?if=en&res=589140	中文 欽定四庫全書 edition. 12 vols. The Neo-Confucian interpretation that dominated the civil examination system for 600+ years.
	周易本義 (facsimile)	old.shuge.org/ebook/zhou-yi-ben-yi/	中文 Song-era edition, Harvard University Library copy. High-resolution color PDF.
李鼎祚 (Li Dingzuo, Tang)	周易集解	ctext.org/wiki.pl?if=en&res=469302	中文 17-volume anthology preserving 35 Han–Tang commentators (鄭玄, 虞翻, etc.). Invaluable for the lost 象數 tradition.
Combined Cheng-Zhu	周易傳義附錄	ctext.org/wiki.pl?if=en&res=569553	中文 Combines both Neo-Confucian masters with additional records.
Ming Imperial	周易傳義大全	shuge.org/view/zhou_yi_zhuan_yi_da_quan/	中文 24 fascicles synthesizing the Cheng-Zhu school. High-resolution facsimile.

III. Na Jia (納甲) & Divination Methods (術數)

Source	URL	Description
京氏易傳 (Jingshi Yizhuan)	ctext.org/jingshi-yizhuan	中文 By 京房 (Jing Fang, 77–37 BCE) with 陸績 commentary. The foundational text of the entire Na Jia / Liu Yao divination system.
火珠林 (Huo Zhu Lin)	ctext.org/wiki.pl?if=en&chapter=597193&remap=gb	中文 The divination manual that popularized the three-coin method (三銅錢法) and systematized Liu Yao practice. Song-era Daoist origin.
梅花易數 (Mei Hua Yi Shu)	eee-learning.com/article/4078	中文 Full text of all 5 volumes with restored punctuation. Plum Blossom Numerology — synchronistic time-based divination attributed to 邵雍.
梅花易數 (ctext)	ctext.org/wiki.pl?if=en&res=724043	中文 Alternative digital edition.
納甲筮法 overview	zh.wikipedia.org/zh-hans/文王卦	中文 Wikipedia overview of the Wen Wang Gua system (文王卦 / 納甲筮法 / 六爻預測).
六爻入門: 四步裝卦	zhuanlan.zhihu.com/p/660229990	中文 Beginner tutorial: four steps to constructing a hexagram with Na Jia assignments.
納甲筮法 (京房)	zhuanlan.zhihu.com/p/138355945	中文 Eight Palace system (八宮卦序), Shi-Ying (世應), flying-hidden (飛伏), Six Relations (六親).
六爻講義: 傳統納甲法	zhuanlan.zhihu.com/p/709241395	中文 Lecture series on traditional Liu Yao Na Jia methods with variant approaches.
從後天八卦到五行與納甲	eee-learning.com/article/1757	中文 Scholarly treatment: from Later Heaven Bagua to Five Elements and Na Jia.
六爻排卦系統 (Interactive)	destiny.to/app/iching/Divine	中文 Online hexagram casting with automatic Na Jia assignments. DestinyNet (命理網).

IV. Digital Humanities & Academic Databases (學術)

Institution	URL	Description	Access
Academia Sinica 漢籍全文資料庫	hanchi.ihp.sinica.edu.tw	中文 The largest Chinese full-text database. 701M+ characters, 1,222+ titles. All major Yijing texts and commentaries.	Partial free
四庫全書 (Siku Quanshu)	sikuquanshu.com	中文 Digital Siku Quanshu. The 經部易類 contains the core Yijing corpus.	Institutional
國學大師 (Guoxuedashi)	guoxuedashi.com	中文 20,000+ classical texts, 2.4 billion characters. Full-text searchable. Includes 四庫全書 and 十三經注疏.	Free
Harvard-Yenching 易經 collection	curiosity.lib.harvard.edu (Yijing search)	Digitized Chinese rare books — Yijing texts and commentaries. Harvard-National Library of China collaboration.	Free
書格 (Shuge)	shuge.org	中文 High-resolution scans of ancient Chinese books and manuscripts.	Free
ChinaKnowledge.de	chinaknowledge.de/Literature/Classics/yijing.html	Comprehensive scholarly overview of the Yijing: history, structure, Ten Wings, commentarial traditions.	Free
CNKI 中國知網	cnki.net	中文 China's dominant academic database. Search "易經" or "周易" for thousands of scholarly articles.	Institutional

V. Archaeological Sources (出土文獻)

The received text (今本) is one witness among several. Excavated manuscripts reveal a fluid textual tradition:

Discovery	Date	Description	Key Scholarship
馬王堆帛書 (Mawangdui Silk Manuscripts)	1973, Changsha, Hunan	Earliest manuscript (~175 BCE). Different hexagram ordering (upper-trigram-based, not King Wen). Contains previously unknown commentaries: 二三子問, 易之義, 要.	Shaughnessy, "A First Reading of the Mawangdui Yijing Manuscript," Early China 19 (1994), pp. 47–73. Cambridge Core
上博簡 (Shanghai Museum Bamboo Strips)	Purchased 1994, Warring States (~300 BCE)	58 fragmentary strips covering ~⅓ of received text. Shows text was current by 300 BCE but still contained small variations.	Shaughnessy, "A First Reading of the Shanghai Museum Bamboo-Strip Manuscript of the Zhou Yi," Early China 30 (2005–06).
甲骨文 (Oracle Bone Inscriptions)	Discovered 1899, Anyang, Henan	The medium of the earliest divination (pyro-scapulimancy). Proto-Yijing practice: binary questions posed to heated turtle shells and ox scapulae. 15th–11th century BCE.	OBIMD multi-modal dataset: arXiv:2407.03900. OBI-Bench: arXiv:2412.01175.
王家台秦簡 (Wangjiatai Qin Strips)	1993, Jiangling, Hubei	Qin-dynasty Yijing fragments with divination records.	Included in Shaughnessy, Unearthing the Changes (Columbia UP, 2014).

Essential monograph: Edward L. Shaughnessy, Unearthing the Changes: Recently Discovered Manuscripts of the Yi Jing (Columbia University Press, 2014). Publisher page

VI. Mathematical & Computational Studies

Study	Reference	Key Finding
King Wen as Optimal Matching on the 6-Cube	Radisic (2026), arXiv:2601.07175v2	The King Wen sequence is isomorphic to the unique K₄-equivariant perfect matching minimizing total Hamming cost on {0,1}⁶. Formally verified in Lean 4. The first proof that the traditional ordering corresponds to an optimization problem.
I Ching, Dyadic Groups & the Genetic Code	Petoukhov, Hu & Petukhova (2017), Progress in Biophysics and Molecular Biology 131, pp. 354–368. ScienceDirect / arXiv:1102.3596	The I Ching's 4 bigrams, 8 trigrams, 64 hexagrams mirror dyadic groups connected with Walsh functions, Hadamard matrices, and the structure of the genetic code (4 bases, 16 doublets, 64 triplets).
Group Relations, Resilience & the I Ching	Schweitzer (2022), arXiv:2204.09330v2	Operationalizes hexagrams to model social group dynamics using social impact theory. Novel measure of group resilience based on hexagram-defined structures.
Classical Chinese Combinatorics	Cook (2006), STEDT Monograph Vol. 5, UC Berkeley. 660pp. Review	The King Wen sequence demonstrates knowledge of linear recurrence sequences (Fibonacci-type) and convergence to the golden ratio.
Leibniz-Bouvet Correspondence	Leibniz, "Explication de l'Arithmetique Binaire" (1703). Analysis at Cambridge Core	Leibniz's binary number system explicitly connected to the Fu Xi arrangement of 64 hexagrams, sent by Jesuit Joachim Bouvet.
Yarrow Stalk Probability Analysis	biroco.com/yijing/prob.htm	Complete derivation of the asymmetric yarrow probabilities: 1:5:7:3 ratio for old yin, young yang, young yin, old yang.
Big Data: Asymmetry of 64 Hexagrams	Zheng (2024), SSRN	1 billion simulated hexagrams revealing that 1–3 moving lines comprise ~80%, while ~17% have none.
Eight Trigrams Encryption	Kou et al. (2023), arXiv:2306.09245v2	Cryptographic algorithm using bagua transformations as encryption rules.

VII. English Translations & References

Translation	Notes
Wilhelm/Baynes (1950/1967)	Online text — The classic English translation via German. Includes Jung's foreword. Dominant in Western reception but criticized for over-reliance on Song Neo-Confucian interpretation.
Richard Rutt (1996/2002)	Zhouyi: A New Translation with Commentary. Routledge — Separates original Zhou text from Ten Wings. Uses Mawangdui evidence. Renders Classical Chinese rhymes into English verse.
Edward Shaughnessy (2014)	Unearthing the Changes. Columbia UP — Translation based on excavated manuscripts rather than received text.
Richard J. Smith	Comprehensive Yijing presentation. Columbia/Rice PDF
List of Hexagrams (Wikipedia)	King Wen sequence — Quick reference for hexagram names and numbers.
Benebell Wen on Ba Gua	benebellwen.com — Trigram correspondences with practical applications.

VIII. Study Resources (學習)

Resource	URL	Description
易學網 (eee-learning.com)	eee-learning.com	中文 Comprehensive Yijing study site. Classical texts, commentaries, courses (foundational through Meihua Yishu). Founded by philosophy scholar.
漢程國學 (Hancheng Guoxue)	gx.httpcn.com	中文 Large collection of classical texts as free e-books, including 周易注 and 周易集解.
中華典藏 (Zhonghua Diancang)	zhonghuadiancang.com	中文 Non-profit site for Chinese classical literature. Online reading and downloads.
Steve Moore: Trigrams of Han	biroco.com/yijing/Moore_Trigrams_of_Han.pdf	Analysis of trigram inner structures and mathematical relationships.
UAYA Advanced Studies	uaya.org/learn/iching/	Nuclear hexagrams and advanced technique.
The China Journey — Wu Xing	thechinajourney.com/wuxing/ — Five Elements philosophy.

IX. Source Lineage Note

The received text (今本周易) descends through:

1. 周文王 (King Wen, ~1050 BCE) — Hexagram sequence and judgments (卦辭)
2. 周公 (Duke of Zhou) — Line texts (爻辭)
3. 孔子學派 (Confucian school) — Ten Wings commentaries (十翼), though authorship disputed
4. 漢代 (Han dynasty) — 京房 Na Jia system; 鄭玄, 虞翻 image-number (象數) school
5. 魏晉 — 王弼 principle-meaning (義理) revolution; 韓康伯 continuation
6. 唐代 — 孔穎達 official codification (周易正義, in 十三經注疏)
7. 宋代 — 程頤 and 朱熹 Neo-Confucian synthesis; 邵雍 numerological school (梅花易數)
8. 清代 — Qing textual criticism; 阮元 collation of Thirteen Classics

The Mawangdui and Shanghai Museum manuscripts reveal that this lineage is one branch of a broader textual tradition that was still fluid as late as 175 BCE.

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Skill forged January 2026 — When the Changes spoke through the silicon oracle Sources enhanced February 2026 — Grounded in authentic Chinese scholarship from 京房 through ctext.org